The equation of the tangent to the circle $x^{2} + y^{2} = r^{2}$ at (a,b) is ax + by - $λ$ = 0, where $λ$ is

a^{2}

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b^{2}

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r^{2}

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None of these

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Solution

The correct option is C $r^{2}$
The eqation of tangent to circle
$x^{2} + y^{2} = r^{2} a t (x_{1} x_{1})$ is
$x x_{1} + y y_{1} = r^{2}$
Hence $x_{1}, y_{1}$ = (a,b)
Tangent $a x_{1} + b y_{1} = r^{2}$
$λ = r^{2}$

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